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Finding the Fourth Proportional to 803.66, 1,205.83 and 341.54

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Solution

The fourth proportional to 803.66, 1,205.83 and 341.54 is: 512.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.66 : 1,205.83 = 341.54 : x
  2. Step 2: Convert to fraction form
    803.66/1,205.83 = 341.54/x
  3. Step 3: Cross multiply
    803.66x = 1,205.83 × 341.54
  4. Step 4: Simplify right side
    803.66x = 411,833.15
  5. Step 5: Solve for x
    x = 411,833.15/803.66
  6. Step 6: Final answer
    x = 512.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.